Anterior mitral leaflet curvature in the beating ovine heart: A case study using videofluoroscopic markers and subdivision surfaces

Biomechanics and Modeling in Mechanobiology

Volumn 9, Issue 3, 2010, Pages 281-293

  Goktepe S ^a   Bothe, W ^b   Kvitting, J P E ^b   Swanson, J C ^b   Ingels, N B ^b,c   Miller, D C ^b   Kuhl, Ellen ^b  

^a Stanford University   (United States)

^b STANFORD UNIVERSITY   (United States)

^c PALO ALTO MEDICAL FOUNDATION   (United States)

Author keywords

Annuloplasty ring; Continuity; Curvature; Mitral regurgitation; Mitral valve; Subdivision surfaces

Indexed keywords

DIMENSIONAL STABILITY; PATIENT TREATMENT; REPAIR;

ANNULOPLASTY; ANNULOPLASTY RING; ANTERIOR MITRAL LEAFLET; CASE-STUDIES; CONTINUITY; CURVATURE; MITRAL REGURGITATION; MITRAL VALVES; SUBDIVISION SURFACES; SURGICAL TREATMENT;

CURVE FITTING;

ANIMALIA; OVIS;

ANIMAL; ARTICLE; AUDIOVISUAL EQUIPMENT; BIOLOGICAL MODEL; COMPUTER SIMULATION; FLUOROSCOPY; HEART VALVE PROSTHESIS; MALE; METHODOLOGY; MITRAL VALVE; PATHOLOGY; PATHOPHYSIOLOGY; SHEEP; VIDEORECORDING;

ANIMALS; COMPUTER SIMULATION; FLUOROSCOPY; HEART VALVE PROSTHESIS; MALE; MITRAL VALVE; MODELS, ANATOMIC; MODELS, CARDIOVASCULAR; SHEEP; VIDEO RECORDING;

EID: 77954622930     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-009-0176-z     Document Type: Article

References (31)

1. BotheW, Krishnamurthy G, Chang PA, Swanson JC, Briones EP, Davis LR, Itoh A, Ingels NB,Miller CD (2009) Effects of the Geoform® annuloplasty ring on anterior mitral leaflet strains and stresses in the normal ovine heart (submitted for publication)
2. Bornow RO, Carabello BA, Chatterjee K, deLeon AC, Faxon DP, Freed MD, Gaasch WH, Lytle BW, Nischimura RA, O'Gara PT, O'Rourke RA, Otto CM, Shah PM, Shanewise JS (2006) ACC/AHA 2006 Guidelines for the management of patients with valvular heart disease. Circulation 114:E84-E231
3. Catmull E, Clark J (1978) Recursively generated B-spline surfaces on arbitrary topological meshes. Comput Aided Des 10:350-355
4. Cirak F, Ortiz M, Schröder P (2000) Subdivision surfaces: A new paradigm for thin-shell finite-element analysis. Int J Numer Methods Eng 47:2039-2072
5. 1-conforming subdivision elements for finite deformation thin-shell analysis. Int J Numer Methods Eng 51:813-833
6. Cirak F, Scott MJ, Antonsson EK, Ortiz M, Schröder P (2002) Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision. Comput Aided Des 34:137-148
7. Cosgrove D (2004) Review: View from North America's cardiac surgeons. Eur J Cardiothorac Surg 26:S27-S31
8. Daughters G, Sanders W, Miller DC, Schwarzkopf A, Mead C, Ingels NB (1989) A comparison of two analytical systems for 3-D reconstruction from biplane videoradiograms. IEEE Comput Cardiol 15:79-82
9. Doo D, Sabin M (1978) Behavior of recursive division surfaces near extraordinary points. Comput Aided Des 10:356-360
10. Itoh A, Krishnamurthy G, Swanson J, Ennis D, Bothe W, Kuhl E, Karlsson M, Davis L, Miller DC, Ingels NB (2009) Active stiffening of mitral valve leaflets in the beating heart. Am J Physiol Heart Circ Physiol 296:H1766-H1773
11. Karlsson MO, Glasson JR, Daughters GT, Komeda M, Foppiano LE, Miller DC, Ingels NB (1998) Mitral valve opening in the ovine heart. Am J Physiol Heart Circ Physiol 274:H552-H563
12. Kreyszig E (1991) Differential geometry. Dover, New York
13. Krishnamurthy G, Ennis DB, Itoh A, Bothe W, Swanson JC, Karlsson M, Kuhl E, Miller DC, Ingels NB (2008) Material properties of the ovine mitral valve anterior leaflet in vivo from inverse finite element analysis. Am J Physiol Heart Circ Physiol 295:H1141-H1149
14. Krishnamurthy G, Itoh A, Bothe W, Swanson J, Kuhl E, Karlsson M, Miller DC, IngelsNB(2009) Stress-strain behavior of mitral valve leaflets in the beating ovine heart. J Biomech 42:1909-1916
15. Krishnamurthy G, Itoh A, Swanson J, Bothe W, Karlsson M, Kuhl E, Miller DC, IngelsNB(2009) Regional stiffening of the mitral valve anterior leaflet in the beating ovine heart. J Biomech. doi:10.1016/ j.jbiomech.2009.08.028
16. Kunzelman KS, Cochran RP (1992) Stress/strain characteristics of porcine mitral valve tissue: Parallel versus perpendicular collagen orientation. J Card Surg 7:71-78
17. Loop C (1987) Smooth subdivision surfaces based on triangles.Masters Thesis, University of Utah, Department of Mathematics
18. Niczyporuk MA, Miller DC (1991) Automatic tracking and digitization of multiple radiopaque myocardial markers. Comp Biomed Res 24:129-142
19. Prot V, Skallerud B,HolzapfelGA (2007) Transversely isotropicmembrane shells with application to mitral valve mechanics. Constitutive modelling and finite element implementation. Int J Numer Methods Eng 71:987-1008
20. Prot V, Haaverstad R, Skallerud B (2009) Finite element analysis of the mitral apparatus: Annulus shape effect and chordal force distribution. Biomech Model Mechanobiol 8:43-55
21. Reif U (1995) A unified approach to subdivision algorithms near extraordinary points. Comput Aided Geom Des 12:153-174
22. Reif U, Schröder P (2001) Curvature integrability of subdivision surfaces. Adv Comput Math 14:157-174
23. Ryan LP, Jackson BM, Hamamoto H, Eperjesi TJ, Plappert TJ, St John- Sutton M, Gorman RC, Gorman JH III (2008) The influence of annuloplasty ring geometry on mitral leaflet curvature. Ann Thorac Surg 86:749-760
24. Ryan LP, Jackson BM, Eperjesi TJ, Plappert TJ, St John-Sutton M, Gorman RC, Gormann JH III (2008) A methodology for assessing human mitral leaflet curvature using real-time 3-dimensional echocardiography. J Thorac Cardiovasc Surg 136:726-734
25. Sacks MA, Enomoto Y, Graybill JR, Merryman WD, Zeeshan A, Yoganathan AP, Levy RJ, Gorman RC, Gorman JH III (2006) In-vivo dynamic deformation of the mitral valve anterior leaflet. Ann Thorac Surg 82:1369-1377
26. Salgo IS, Gorman JH III, Gorman RC, Jackson BM, Bowen FW, Plappert T, St John Sutton MG, Edmunds LH (2002) Effect of annular shape on leaflet curvature in reducing mitral leaflet stress. Circulation 106:711-717
27. Schröder P (2002) Subdivision as a fundamental building block of digital geometry processing algorithms. J Comput Appl Math 149:207-219
28. Umlauf G (2000) Analyzing the characteristic map of triangular subdivision schemes. Constr Approx 16:145-155
29. Votta E, Maisano F, Bolling SF, Alfieri O, Montevecchi FM, Redaelli A (2007) TheGeoform disease-specific annuloplasty system: A finite element study. Ann Thorac Surg 84:92-101
30. Votta E, Caiani E, Veronesi F, SonciniM, Montevecchi FM, Redaelli A (2008) Mitral valve finite-element modelling from ultrasound data: A pilot study for a newapproach to understand mitral function and clinical scenarios. Phil Trans Royal Soc A 366:3411-3434
31. Zorin D (2000) A method for analysis of C1-continuity of subdivision surfaces. SIAM J Numer Anal 37:1677-1708